Explicit Hochschild Cocycles for Gentle Algebras
Rings and Algebras
2023-08-21 v1 Representation Theory
Abstract
Hochschild cohomology is crucial for understanding deformation theory. In arXiv:2304.10223, we have computed the Hochschild cohomology for gentle algebras of punctured surfaces. The construction of that paper is rather implicit and fails if the punctured surface has only a single puncture. In the present note, we supplement the earlier method by providing an explicit construction of Hochschild cocycles which also succeeds in the case of a single puncture.
Cite
@article{arxiv.2308.09533,
title = {Explicit Hochschild Cocycles for Gentle Algebras},
author = {Jasper van de Kreeke},
journal= {arXiv preprint arXiv:2308.09533},
year = {2023}
}
Comments
31 pages, numerous illustrations